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Optimal Sequential Aim Corrections for Attacking a Stationary Point Target

Author

Listed:
  • Jack Nadler

    (Bell Telephone Laboratories, Inc., Whippany, New Jersey)

  • Joan Eilbott

    (Bell Telephone Laboratories, Inc., Whippany, New Jersey)

Abstract

A battery of weapons is directed one at a time at a stationary point target. The impact points of each weapon have a common circular normal distribution centered an unknown distance from the target; however, the centering of this distribution can be altered by a known amount between one shot and the next, if desired. We derive the optimal corrections among all unbiasing corrections that are linear functions of earlier impact-point components, and give the corresponding maximum probability of target destruction for any number of weapons for two target destruction functions. Also, we determine how large the offset need be in order that the optimal scheme be less costly than a strategy that makes no adjustment to aim. Three other schemes that do adjust aim are compared to the optimal one for various battery sizes.

Suggested Citation

  • Jack Nadler & Joan Eilbott, 1971. "Optimal Sequential Aim Corrections for Attacking a Stationary Point Target," Operations Research, INFORMS, vol. 19(3), pages 685-697, June.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:3:p:685-697
    DOI: 10.1287/opre.19.3.685
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    Cited by:

    1. Younglak Shim & Michael P. Atkinson, 2018. "Analysis of artillery shoot‐and‐scoot tactics," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(3), pages 242-274, April.

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